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Simplifying -26.5 + 5.5b = -7(9.5b + 6) Reorder the terms: -26.5 + 5.5b = -7(6 + 9.5b) -26.5 + 5.5b = (6 * -7 + 9.5b * -7) -26.5 + 5.5b = (-42 + -66.5b) Solving -26.5 + 5.5b = -42 + -66.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '66.5b' to each side of the equation. -26.5 + 5.5b + 66.5b = -42 + -66.5b + 66.5b Combine like terms: 5.5b + 66.5b = 72b -26.5 + 72b = -42 + -66.5b + 66.5b Combine like terms: -66.5b + 66.5b = 0.0 -26.5 + 72b = -42 + 0.0 -26.5 + 72b = -42 Add '26.5' to each side of the equation. -26.5 + 26.5 + 72b = -42 + 26.5 Combine like terms: -26.5 + 26.5 = 0.0 0.0 + 72b = -42 + 26.5 72b = -42 + 26.5 Combine like terms: -42 + 26.5 = -15.5 72b = -15.5 Divide each side by '72'. b = -0.2152777778 Simplifying b = -0.2152777778
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